Influence of low-energy scattering on loosely bound states

Jean-Marc Sparenberg, Pierre Capel, Daniel Baye
2010 Physical Review C  
Compact algebraic equations are derived, which connect the binding energy and the asymptotic normalization constant (ANC) of a subthreshold bound state with the effective-range expansion of the corresponding partial wave. These relations are established for positively-charged and neutral particles, using the analytic continuation of the scattering (S) matrix in the complex wave-number plane. Their accuracy is checked on simple local potential models for the 16O+n, 16O+p and 12C+alpha nuclear
more » ... tems, with exotic nuclei and nuclear astrophysics applications in mind.
doi:10.1103/physrevc.81.011601 fatcat:ujp4iwftd5bddia4efuj7kod3i